Final answer:
To find the length of side PQ, you can use the tangent function. Given the angle PQR = 75 degrees and angle R = 90 degrees, substitute the values into the tangent formula and solve for PQ. The correct answer is QR = 18.
Step-by-step explanation:
To find the length of side PQ, we can use the trigonometric function tangent. Given angle PQR = 75 degrees and angle R = 90 degrees, we can use the tangent function to find the length of PQ. Tan(angle PQR) = PQ/MP. Substituting the given values, tan(75) = PQ/18. Solving for PQ, we get PQ ≈ 33.48.
Therefore, the correct answer is b. QR = 18.